CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
Killing Yano 2-forms on homogeneous spaces
Autor/es:
DOTTI I.; ANDREA CECILIA HERRERA
Revista:
Sao Paulo J. Math Sci
Editorial:
Springer Verlag
Referencias:
Lugar: Sao Paulo; Año: 2018 vol. 12 p. 227 - 245
ISSN:
1982-6907
Resumen:
Riemannian manifolds carrying skew (1, 1)-tensors satisfying the Killing-Yano equation are natural generalizations of nearly Kähler manifolds. In this article we investigate the existence of invariant solutions to the Killing-Yano equation on homogeneous spaces G/K endowed with a G-invariant metric, focusing on 2-forms. We exhibit non parallel invariant solutions on full flag manifolds SU(n) / T for every 𝑛≥4 . These flag manifolds do not admit an invariant nearly Kähler structure. We give the full set of invariant solutions to the Killing-Yano equation for SU(3) / T.
